Math 454 (Fall 2020): Suggested COMBINATORICS Class Projects

https://sites.math.rutgers.edu/~zeilberg/Combo20/ClassProjects.html

Last Update: Oct. 24, 2020

The Class should be divided into up to 8 teams, each with a team leader. Each team can contain from 1 to 4 students (including the team leaders, ideal size: 3). The team leader will be in charge of coordinating the various contributions, and managing the extension of the Maple package that accompany the project, that I started but should be extended considerably. The team leader would also be in charge of comminicating the output files, fairly large "data-bases" that would generate new sequences, and study them. The minimum requirement would be listed below, but it is hoped that students can study the data and make interesting conjectures and perhaps even theorems. There should also be a write-up, that would definitely (with your permission) posted in this web-site, but that may, potentially, lead to a paper in the arxiv, and possibly even in a "real" journal. This "polishing up" can be done after the class is over. But the preliminary version, due Dec. 14, 2020 should consist of

For examples (from previous graduate classes See example from 2019, another example (of a different kind). See also an example from 2018 and another example from 2018.


Suggested Projects

You are welcome to suggest other projects.